A bakery is creating a round cake with three different levels as shown below. The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes? A25π25π in2 B50π50π in2 C100π100π in2 D200π200π in2 **Title: Calculating the Exposed Surface Area of a Tiered Cake****Introduction:**A bakery is creating a round, tiered cake with three different levels. The diagram illustrates the cake's structure with the following diameters:- Bottom tier: 10 inches- Middle tier: 8 inches- Top tier: 6 inches**Problem:**The diameters of the three cakes are 10 inches, 8 inches, and 6 inches, respectively. These cakes are stacked and centered on top of each other, with the largest cake at the bottom and the smallest cake on top. The bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes. The sides of each cake will not be decorated. What is the total exposed area, in square inches, of the top faces of the three cakes?**Choices:**- A: \(25\pi \text{ in}^2\)- B: \(50\pi \text{ in}^2\)- C: \(100\pi \text{ in}^2\)- D: \(200\pi \text{ in}^2\)

Area of a circle: The circle's area is the measurement of the space or territory enclosed within it.…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A bakery is creating a round cake with three different levels as shown below.

The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes?